9^x=243
gah its so easy but i 4got how
2007-11-20 14:02:02 · 7 answers · asked by ahhhhhh 1 in Science & Mathematics ➔ Mathematics
take log base 9 of both sides.
log property says that you can take the exponent to the front
xlog(9)9 =log(9) 243
log(9) 9 =1
x = log(9) 243
x = 2.5
to do the log equation on your calc
log(9) 243 is the same as ln 243 / ln 9
2007-11-20 14:07:39 · answer #1 · answered by sweetslasher 2 · 0⤊ 0⤋
9^x = 243
=> (3^2)^x = 3^5
=> 3^2x = 3^5
=> 2x = 5
=> x = 5/2
2007-11-20 14:10:39 · answer #2 · answered by sv 7 · 0⤊ 0⤋
Write 9 and 243 as powers of 3:
3^(2x) = 3^5.
Take logs:
2x log 3 = 5 log 3.
2x = 5
x = 2.5.
2007-11-20 14:26:43 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋
You can solve this by doing ln(243)/ln(9). You could also substitute log for ln. The answer is 2.5.
2007-11-20 14:07:38 · answer #4 · answered by Igthomque 3 · 0⤊ 0⤋
9^x = 243
x(log 9) = (log 243)
x = (log 243)/(log 9)
x = 2.5
2007-11-20 14:13:19 · answer #5 · answered by Jen B 2 · 0⤊ 0⤋
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2016-12-16 14:49:04 · answer #6 · answered by ? 4 · 0⤊ 0⤋
9^2.5
2007-11-20 14:06:12 · answer #7 · answered by wintergrave 2 · 0⤊ 0⤋